Sounds like you have pericoronitis. Which is basically imflammation of the gum flap surrouunding a partially erupted tooth. So in this case, better than corsodyl is salt water mouth rinses.
Half cup hot water, tea-spoon salt, disolve salt & let to cool, not too cool tho, just enough so you can rinse. Rinse 2/3 times after each meal. Clove oil is generally better on tooth structure, so may not make a huge difference, as what will be giving you pain is the imflammed tissues around the partially erupted tooth. Clean gently as much as possible in that area.
Lower wisdom teeth are quite easy to remove, easier still if partially thru already. It doesn't have to come out. I had mine for years. It was only due to another procedure that I needed them out. I had a few bouts of this, but it was livable. But then I never had to wait for 2/3 weeks for treatment.
Based on the dental system these days, I would reccomend you have it out, if suggested. I think you are waiting too long tbh. Maybe try the hospital as suggested.